Points fixes d'applications holomorphes d'un domaine borne de Cⁿ dans lui-meme

2010/04/09 by Jean-Pierre Vigué, Jean-Pierre Vigue, Vigue, Jean-Pierre
Mathematics · #Algebraic and Geometric Analysis #Holomorphic and Operator Theory #Meromorphic and Entire Functions #math.CV

paper · pdf · doi:10.48550/arxiv.1004.1506

arxiv created 2010/04/09 · arxiv updated 2010/04/12

Abstract

In this paper, we prove the main properties of the set of fixed points of an holomorphic map from a bounded domain in Cⁿ into itself.

Related

• Properties of Fixed Point Sets and a Characterization of the Ball in \Bbb Cⁿ
• Isolated fixed point sets for holomorphic maps
• Fixed points and Determining Sets for Holomorphic Self-Maps of a Hyperbolic Manifold
• Holomorphic mappings between domains in \mbb C²
• Horoballs and iteration of holomorphic maps on bounded symmetric domains